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44243241130341 = 34111937107660131
BaseRepresentation
bin10100000111101001011101…
…01010111101100101100101
312210122121112112201102020000
422003310232222331211211
521244340124212132331
6234033021523531513
712214316521411221
oct1203645652754545
9183577475642200
1044243241130341
11131084a92210a0
124b66777b29b99
131b8c1730a4606
14acd55471b781
1551ad054580e6
hex283d2eabd965

44243241130341 has 160 divisors (see below), whose sum is σ = 78674637381120. Its totient is φ = 24485225097600.

The previous prime is 44243241130337. The next prime is 44243241130391. The reversal of 44243241130341 is 14303114234244.

44243241130341 is a `hidden beast` number, since 4 + 4 + 2 + 43 + 241 + 1 + 30 + 341 = 666.

It is not a de Polignac number, because 44243241130341 - 22 = 44243241130337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44243241130296 and 44243241130305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44243241130331) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66691846 + ... + 67351976.

It is an arithmetic number, because the mean of its divisors is an integer number (491716483632).

Almost surely, 244243241130341 is an apocalyptic number.

It is an amenable number.

44243241130341 is a deficient number, since it is larger than the sum of its proper divisors (34431396250779).

44243241130341 is a wasteful number, since it uses less digits than its factorization.

44243241130341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660317 (or 660308 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 44243241130341 its reverse (14303114234244), we get a palindrome (58546355364585).

The spelling of 44243241130341 in words is "forty-four trillion, two hundred forty-three billion, two hundred forty-one million, one hundred thirty thousand, three hundred forty-one".

Divisors: 1 3 9 11 19 27 33 37 57 81 99 107 111 171 209 297 321 333 407 513 627 703 891 963 999 1177 1221 1539 1881 2033 2109 2889 2997 3531 3663 3959 5643 6099 6327 7733 8667 10593 10989 11877 16929 18297 18981 22363 23199 31779 32967 35631 43549 54891 56943 67089 69597 75221 95337 106893 130647 164673 201267 208791 225663 320679 391941 603801 626373 660131 676989 827431 1175823 1811403 1980393 2030967 2482293 3527469 5941179 6092901 7261441 7446879 12542489 17823537 21784323 22340637 24424847 37627467 53470611 65352969 67021911 70634017 73274541 112882401 137967379 196058907 211902051 219823623 268673317 338647203 413902137 464072093 588176721 635706153 659470869 776974187 806019951 1015941609 1241706411 1342046323 1392216279 1907118459 1978412607 2330922561 2418059853 2613458629 3725119233 4026138969 4176648837 5104793023 5721355377 6992767683 7254179559 7840375887 11175357699 12078416907 12529946511 14762509553 15314379069 20978303049 21762538677 23521127661 28748044919 36235250721 37589839533 44287528659 45943137207 49655713951 62934909147 70563382983 86244134757 108705752163 132862585977 137829411621 148967141853 211690148949 258732404271 398587757931 413488234863 446901425559 546212853461 776197212813 1195763273793 1340704276677 1638638560383 2328591638439 4022112830031 4915915681149 14747747043447 44243241130341